Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction
- Lawrence Livermore National Laboratory, Livermore, California 94550 (US)
The Lanczos recursion algorithm is used to determine forward-propagating solutions for both the paraxial and Helmholtz wave equations for longitudinally invariant refractive indices. By eigenvalue analysis it is demonstrated that the method gives extremely accurate solutions to both equations.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5675440
- Journal Information:
- Optics Letters; (USA), Vol. 16:11; ISSN 0146-9592
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
WAVE PROPAGATION
NUMERICAL SOLUTION
WAVEGUIDES
ALGORITHMS
EIGENVALUES
LASER RADIATION
RECURSION RELATIONS
REFRACTIVITY
ELECTROMAGNETIC RADIATION
MATHEMATICAL LOGIC
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
RADIATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
GENERAL PHYSICS
WAVE PROPAGATION
NUMERICAL SOLUTION
WAVEGUIDES
ALGORITHMS
EIGENVALUES
LASER RADIATION
RECURSION RELATIONS
REFRACTIVITY
ELECTROMAGNETIC RADIATION
MATHEMATICAL LOGIC
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
RADIATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics